Search a number
-
+
2029598088 = 2337191913329
BaseRepresentation
bin111100011111001…
…0011010110001000
312020110001021011120
41320332103112020
513124034114323
6533221155240
7101203204410
oct17076232610
95213037146
102029598088
119517230a1
1248785bb20
1326463b41b
141537a1640
15bd2ac5e3
hex78f93588

2029598088 has 128 divisors (see below), whose sum is σ = 6137856000. Its totient is φ = 546324480.

The previous prime is 2029598083. The next prime is 2029598093. The reversal of 2029598088 is 8808959202.

2029598088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2029598083) and next prime (2029598093).

It is a self number, because there is not a number n which added to its sum of digits gives 2029598088.

It is not an unprimeable number, because it can be changed into a prime (2029598083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608008 + ... + 611336.

It is an arithmetic number, because the mean of its divisors is an integer number (47952000).

Almost surely, 22029598088 is an apocalyptic number.

2029598088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029598088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068928000).

2029598088 is an abundant number, since it is smaller than the sum of its proper divisors (4108257912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2029598088 is a wasteful number, since it uses less digits than its factorization.

2029598088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 2029598088 is about 45051.0608976082. The cubic root of 2029598088 is about 1266.1058488100.

The spelling of 2029598088 in words is "two billion, twenty-nine million, five hundred ninety-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 191 228 266 382 399 456 532 573 764 798 1064 1146 1337 1528 1596 2292 2674 3192 3329 3629 4011 4584 5348 6658 7258 8022 9987 10696 10887 13316 14516 16044 19974 21774 23303 25403 26632 29032 32088 39948 43548 46606 50806 63251 69909 76209 79896 87096 93212 101612 126502 139818 152418 186424 189753 203224 253004 279636 304836 379506 442757 506008 559272 609672 635839 759012 885514 1271678 1328271 1518024 1771028 1907517 2543356 2656542 3542056 3815034 4450873 5086712 5313084 7630068 8901746 10626168 12080941 13352619 15260136 17803492 24161882 26705238 35606984 36242823 48323764 53410476 72485646 84566587 96647528 106820952 144971292 169133174 253699761 289942584 338266348 507399522 676532696 1014799044 2029598088